The lengths of the sides of the triangle are related as 3: 4: 5 if the difference between its largest and smallest sides is 12 cm find the perimeter of the triangle.
Let’s find how many units – parts the smaller side differs from the largest:
1) 5 – 3 = 2 (h.)
Because in absolute terms, this difference is 12 cm, which means that each part accounts for:
2) 12/2 = 6 (cm).
Find the smaller side that matches the 3 parts:
3) 6 * 3 = 18 (cm).
The second side has a length corresponding to 4 parts:
4) 6 * 4 = 24 (cm).
And the third side has a length that matches 5 parts:
5) 6 * 5 = 30 (cm).
Accordingly, the perimeter will be equal to:
6) 18 + 24 + 30 = 72 (cm).
Answer: the perimeter of the triangle is 72 cm.
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